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Dimension reduction and data visualization aim to project a high-dimensional dataset to a low-dimensional space while capturing the intrinsic structures in the data. It is an indispensable part of modern data science, and many dimensional…

Machine Learning · Statistics 2022-10-26 Rong Ma , Eric D. Sun , James Zou

The quest for simplification in physics drives the exploration of concise mathematical representations for complex systems. This Dissertation focuses on the concept of dimensionality reduction as a means to obtain low-dimensional…

Machine Learning · Computer Science 2024-10-31 Eslam Abdelaleem

Successful applications of sparse models in computer vision and machine learning imply that in many real-world applications, high dimensional data is distributed in a union of low dimensional subspaces. Nevertheless, the underlying…

Computer Vision and Pattern Recognition · Computer Science 2014-04-22 Xiao Bian , Hamid Krim

The input data features set for many data driven tasks is high-dimensional while the intrinsic dimension of the data is low. Data analysis methods aim to uncover the underlying low dimensional structure imposed by the low dimensional hidden…

Machine Learning · Computer Science 2019-01-30 Moshe Salhov , Ofir Lindenbaum , Yariv Aizenbud , Avi Silberschatz , Yoel Shkolnisky , Amir Averbuch

Sparse representation of 3D images is considered within the context of data reduction. The goal is to produce high quality approximations of 3D images using fewer elementary components than the number of intensity points in the 3D array.…

Image and Video Processing · Electrical Eng. & Systems 2019-06-12 Laura Rebollo-Neira , Daniel Whitehouse

Neural approaches have shown a significant progress on camera-based reconstruction. But they require either a fairly dense sampling of the viewing sphere, or pre-training on an existing dataset, thereby limiting their generalizability. In…

Computer Vision and Pattern Recognition · Computer Science 2024-04-02 Mohammed Brahimi , Bjoern Haefner , Zhenzhang Ye , Bastian Goldluecke , Daniel Cremers

We investigate the problem of learning category-specific 3D shape reconstruction from a variable number of RGB views of previously unobserved object instances. Most approaches for multiview shape reconstruction operate on sparse shape…

Computer Vision and Pattern Recognition · Computer Science 2019-12-10 Srinath Sridhar , Davis Rempe , Julien Valentin , Sofien Bouaziz , Leonidas J. Guibas

High-dimensional imaging is becoming increasingly relevant in many fields from astronomy and cultural heritage to systems biology. Visual exploration of such high-dimensional data is commonly facilitated by dimensionality reduction.…

Computer Vision and Pattern Recognition · Computer Science 2023-08-04 Alexander Vieth , Anna Vilanova , Boudewijn Lelieveldt , Elmar Eisemann , Thomas Höllt

We propose SparseFusion, a sparse view 3D reconstruction approach that unifies recent advances in neural rendering and probabilistic image generation. Existing approaches typically build on neural rendering with re-projected features but…

Computer Vision and Pattern Recognition · Computer Science 2023-02-17 Zhizhuo Zhou , Shubham Tulsiani

Accurately delineating the visual pathway (VP) is crucial for understanding the human visual system and diagnosing related disorders. Exploring multi-parametric MR imaging data has been identified as an important way to delineate VP.…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Alou Diakite , Cheng Li , Lei Xie , Yuanjing Feng , Ruoyou Wu , Jianzhong He , Hairong Zheng , Shanshan Wang

Finding accurate correspondences among different views is the Achilles' heel of unsupervised Multi-View Stereo (MVS). Existing methods are built upon the assumption that corresponding pixels share similar photometric features. However,…

Computer Vision and Pattern Recognition · Computer Science 2022-08-23 Di Chang , Aljaž Božič , Tong Zhang , Qingsong Yan , Yingcong Chen , Sabine Süsstrunk , Matthias Nießner

Integrated Computational Materials Engineering (ICME) aims to accelerate optimal design of complex material systems by integrating material science and design automation. For tractable ICME, it is required that (1) a structural feature…

Materials Science · Physics 2017-05-01 Ruijin Cang , Yaopengxiao Xu , Shaohua Chen , Yongming Liu , Yang Jiao , Max Yi Ren

Majority of the current dimensionality reduction or retrieval techniques rely on embedding the learned feature representations onto a computable metric space. Once the learned features are mapped, a distance metric aids the bridging of gaps…

Computer Vision and Pattern Recognition · Computer Science 2018-10-17 Muhammad Kamran Janjua , Shah Nawaz , Alessandro Calefati , Ignazio Gallo

We introduce SparseNeuS, a novel neural rendering based method for the task of surface reconstruction from multi-view images. This task becomes more difficult when only sparse images are provided as input, a scenario where existing neural…

Computer Vision and Pattern Recognition · Computer Science 2022-08-03 Xiaoxiao Long , Cheng Lin , Peng Wang , Taku Komura , Wenping Wang

This paper presents an innovative approach to dimensionality reduction and feature extraction in high-dimensional datasets, with a specific application focus on wood surface defect detection. The proposed framework integrates sparse…

Machine Learning · Computer Science 2024-10-01 Harish Neelam , Koushik Sai Veerella , Souradip Biswas

Incomplete multi-view clustering (IMVC) is an unsupervised approach, among which IMVC via contrastive learning has received attention due to its excellent performance. The previous methods have the following problems: 1) Over-reliance on…

Computer Vision and Pattern Recognition · Computer Science 2023-03-23 Kaiwu Zhang , Shiqiang Du , Baokai Liu , Shengxia Gao

Traditional model-based image reconstruction (MBIR) methods combine forward and noise models with simple object priors. Recent application of deep learning methods for image reconstruction provides a successful data-driven approach to…

Image and Video Processing · Electrical Eng. & Systems 2022-05-20 Ling Chen , Zhishen Huang , Yong Long , Saiprasad Ravishankar

Dense retrieval has achieved impressive advances in first-stage retrieval from a large-scale document collection, which is built on bi-encoder architecture to produce single vector representation of query and document. However, a document…

Computation and Language · Computer Science 2022-03-17 Shunyu Zhang , Yaobo Liang , Ming Gong , Daxin Jiang , Nan Duan

Multi-view visual reasoning is essential for intelligent systems that must understand complex environments from sparse and discrete viewpoints, yet existing research has largely focused on single-image or temporally dense video settings. In…

Computer Vision and Pattern Recognition · Computer Science 2026-03-19 Fucai Ke , Zhixi Cai , Boying Li , Long Chen , Beibei Lin , Weiqing Wang , Pari Delir Haghighi , Gholamreza Haffari , Hamid Rezatofighi

This paper studies the problem of 3D volumetric reconstruction from two views of a scene with an unknown camera. While seemingly easy for humans, this problem poses many challenges for computers since it requires simultaneously…

Computer Vision and Pattern Recognition · Computer Science 2020-07-28 Shengyi Qian , Linyi Jin , David F. Fouhey